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Finding the Fourth Proportional to 12,584.04, 17,365.50 and 6,995.40

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Solution

The fourth proportional to 12,584.04, 17,365.50 and 6,995.40 is: 9,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.04 : 17,365.50 = 6,995.40 : x
  2. Step 2: Convert to fraction form
    12,584.04/17,365.50 = 6,995.40/x
  3. Step 3: Cross multiply
    12,584.04x = 17,365.50 × 6,995.40
  4. Step 4: Simplify right side
    12,584.04x = 121,478,618.70
  5. Step 5: Solve for x
    x = 121,478,618.70/12,584.04
  6. Step 6: Final answer
    x = 9,653.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.